a(n) = F(n+2) - 2^[ (n+1)/2 ] - 2^[ n/2 ] + 1.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =1a(5) =2a(6) =6a(7) =11a(8) =24a(9) =42a(10) =81a(11) =138a(12) =250a(13) =419a(14) =732a(15) =1214a(16) =2073a(17) =3414a(18) =5742a(19) =9411a(20) =15664a(21) =25586a(22) =42273a(23) =68882a(24) =113202a(25) =184131a(26) =301428a(27) =489654a(28) =799273a(29) =1297118